199816008 has 128 divisors (see below), whose sum is σ = 611712000. Its totient is φ = 53118720.

The previous prime is 199815997. The next prime is 199816013. The reversal of 199816008 is 800618991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187798 + ... + 188858.

It is an arithmetic number, because the mean of its divisors is an integer number (4779000).

Almost surely, 2^199816008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199816008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305856000).

199816008 is an abundant number, since it is smaller than the sum of its proper divisors (411895992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199816008 is a wasteful number, since it uses less digits than its factorization.

199816008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 199816008 is about 14135.6290273903. The cubic root of 199816008 is about 584.6241606645.

The spelling of 199816008 in words is "one hundred ninety-nine million, eight hundred sixteen thousand, eight".